Disclosed is a smoke-permeable film suitable for the production of tubular casings, especially sausage casings, including a film of fiber-reinforced regenerated cellulose and a layer of thermoplastic sealable resin containing a vinylidene group-containing copolymer. The thermoplastic sealable resin has a smoke-permeable structure, including linear discontinuities running parallel to one another, and is anchored to the surface of the cellulose film with the aid of an adhesion promoting layer. The resin layer completely coats at least one of two surfaces of the cellulose film. Also disclosed is a casing made of the smoke-permeable film and a method for producing the film.